"He tackled me. Threw me into the wall. Beat me in the face. Knocked me down on the couch, and had my arms pinned, and he was just beating my face," the elder Rose said.

Police said Jeremy Rose recently moved to North Fort Myers from Alabama, where he was also accused of murder in 2008 after a fight escalated into a stabbing death. He was acquitted in that case after sitting in jail for two years.

Eugene and his wife Teresa, who live in Indiana, said their son is a violent man.

"It's his temper. He's got a bad temper, and it all goes back to his childhood," Teresa said.

"You know, I didn't want him locked up like that," Eugene said.

He said he's seen how dangerous Jeremy can be, and now, "I wish he would turn himself in."

Eugene said his son broke several of his father's ribs during their altercation, also leaving him with a concussion.

"It's been two years since I've seen him. I don't know how he is. I don't want to be around him, even though I am his dad."

Police said Jeremy Rose should be considered armed and dangerous, a description his dad knows too well.

"He's got a Case XX knife. It's a long-bladed knife, and he keeps it razor sharp."

Eugene said he sends his condolences to Medina's family, and he urges Jeremy to stop running and let the investigation play out.

In the meantime, anyone who sees Jeremy Rose or has information is asked to call the Fort Myers Police Department at (239) 321-7700 or Crime Stoppers at 1-800-780-TIPS (8477). All callers will remain anonymous and will be eligible for a cash reward of up to $1,000. Tips may also be made online at southwestfloridacrimestoppers.com or by submitting a tip on the P3Tips mobile app.